However, increasing population size may not only change whether mutants fixate below or above neutrality [1]}, [2]}, but can correspond to actual increases of single mutant fixation probabilities. We observed a diversity of fixation functions with increasing regions under the twelve remaining orderings. These included all six strategies from anti-coordination games such as the Hawk-Dove/Snowdrift game [3]}, [4]}, [5]}, [6]}, the fixation of five dominating strategies such as defectors in the Prisoner’s Dilemma [7]}, [8]}, and the fixation of stag hunters in the Stag Hunt game [9]}, [10]} (the only exception in coordination games). In section REF , fixation functions that increased from a global minimum to a finite asymptotic value were explored and found to be pervasive. In some anti-coordination games (e.g. fixation of Doves) this shape was found every time the payoff matrix led to a finite asymptotic value. These functions seem to have passed mostly unnoticed in the past with the exception of [11]}, where it was briefly noted that they could be observed under the Hawk-Dove game. We propose that they may have been hidden by the weak selection limit [1]}, [13]}, [14]}, [15]}, especially if this limit was considered to be dominant over the large population one [16]}.
